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Given cot=7\8,then evaluate (1+sin)\cos.How to solve?

Asked by Satya 12th June 2015, 6:47 PM

Answered by Expert

Answer:

c o t theta equals 7 over 8 rightwards double arrow tan theta equals 8 over 7 U sin g space t h e space t r o g o n o m e t r i c space i d e n t i t y space 1 plus tan squared theta equals s e c squared theta comma space w e space g e t s e c theta equals square root of 1 plus tan squared theta end root equals square root of 1 plus 64 over 49 end root equals fraction numerator square root of 113 over denominator 7 end fraction N o w comma space fraction numerator 1 plus sin theta over denominator cos theta end fraction equals fraction numerator 1 over denominator cos theta end fraction plus fraction numerator sin theta over denominator cos theta end fraction equals s e c theta plus tan theta equals fraction numerator square root of 113 over denominator 7 end fraction plus 8 over 7 equals fraction numerator square root of 113 plus 8 over denominator 7 end fraction

Answered by Expert 14th June 2015, 8:12 AM

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